Coupled Coincidence Point and Coupled Common Fixed Point Theorems in Partially Ordered Metric Spaces with <inline-formula> <graphic file="1687-1812-2010-134897-i1.gif"/></inline-formula>-Distance

Abstract

We introduce the concept of a -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with -distances. Related coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend, and unify several well-known comparable results in the literature.